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Finding the Fourth Proportional to 10,175.50, 15,263.54 and 3,250

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Solution

The fourth proportional to 10,175.50, 15,263.54 and 3,250 is: 4,875.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,175.50 : 15,263.54 = 3,250 : x
  2. Step 2: Convert to fraction form
    10,175.50/15,263.54 = 3,250/x
  3. Step 3: Cross multiply
    10,175.50x = 15,263.54 × 3,250
  4. Step 4: Simplify right side
    10,175.50x = 49,606,505
  5. Step 5: Solve for x
    x = 49,606,505/10,175.50
  6. Step 6: Final answer
    x = 4,875.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.